SOLUTION: Solve the equation by completing the square x^2+16x+39=2 please show steps

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Question 1051708: Solve the equation by completing the square
x^2+16x+39=2
please show steps
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Follow this demonstation lesson:
changing a quadratic equation from general form to standard form - video

Solving the quadratic equation for the unknown variable becomes a very simple process if done from the standard form. You also have a general formula for this result:

highlight_green%28x=%28-b%2B-+sqrt%28b%5E2-4ac%29%29%2F%282a%29%29

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the equation by completing the square
x^2+16x+39=2
please show steps
x%5E2+%2B+16x+%2B+39+=+2+

x%5E2+%2B+16x+=+2+-+39 ------ Subtracting 39 to move constant to right side

x%5E2+%2B+16x+=+-+37

x%5E2+%2B+16x+%2B+%28%281%2F2%29+%2A+b%29%5E2+=+-+37+%2B+%28%281%2F2%29+%2A+b%29%5E2 

x%5E2+%2B+16x+%2B+%28%281%2F2%29+%2A+16%29%5E2+=+-+37+%2B+%28%281%2F2%29+%2A+16%29%5E2 

x%5E2+%2B+16x+%2B+8%5E2+=+-+37+%2B+8%5E2 

%28x+%2B+8%29%5E2+=+-+37+%2B+64 

%28x+%2B+8%29%5E2+=+27 

sqrt%28%28x+%2B+8%29%5E2%29+=+%22+%22%2B-+sqrt%2827%29 

x+%2B+8+=+%22+%22%2B-+3sqrt%283%29

highlight_green%28x+=+%22+%22%2B-+3sqrt%283%29+-+8%29